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Finding the Fourth Proportional to 105.57, 145.31 and 92.21

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Solution

The fourth proportional to 105.57, 145.31 and 92.21 is: 126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.57 : 145.31 = 92.21 : x
  2. Step 2: Convert to fraction form
    105.57/145.31 = 92.21/x
  3. Step 3: Cross multiply
    105.57x = 145.31 × 92.21
  4. Step 4: Simplify right side
    105.57x = 13,397.85
  5. Step 5: Solve for x
    x = 13,397.85/105.57
  6. Step 6: Final answer
    x = 126.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.